Operations on events

Event that $A$ and $B$ both occurred in the same experiment.

Event that none of $A$ or $B$ occurred in the same experiment.

Event that $A$ or $B$ or both of them occurred in the same experiment.

Probability of event that $A$ and $B$ both occured in the same experiment.

Correct

2

Correct

Only two outcomes satisfy both events: HTH and HHT. Indeed, the first position should be H because it belongs to $A$ . Only one T should be placed on one of the other positoins, giving exactly two outcomes.

5

Correct

Event $A$ consists of outcomes {HHH, HHT, HTH, HTT}. Event $B$ consists of outcomes {THH, HTH, HHT}. Event $A \cup B$ is their union. Only THH is not present in $A$ , so we should add it. The union has 5 elements.

1

Correct

If event At least one tossing yields head did not occur, it means that no tossing yielded head. The only possible outcome is TTT.

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